Home / 2,042.04-3,062.40-809.76

Finding the Fourth Proportional to 2,042.04, 3,062.40 and 809.76

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Solution

The fourth proportional to 2,042.04, 3,062.40 and 809.76 is: 1,214.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.04 : 3,062.40 = 809.76 : x
  2. Step 2: Convert to fraction form
    2,042.04/3,062.40 = 809.76/x
  3. Step 3: Cross multiply
    2,042.04x = 3,062.40 × 809.76
  4. Step 4: Simplify right side
    2,042.04x = 2,479,809.02
  5. Step 5: Solve for x
    x = 2,479,809.02/2,042.04
  6. Step 6: Final answer
    x = 1,214.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.